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searching for Quadratic transformation 8 found (10 total)

alternate case: quadratic transformation

Hypergeometric function (6,920 words) [view diff] exact match in snippet view article find links to article

a + b − c, c − a − b are equal or one of them is 1/2 then there is a quadratic transformation of the hypergeometric function, connecting it to a different value

Blowing up (4,260 words) [view diff] exact match in snippet view article find links to article

A blowup can also be called monoidal transformation, locally quadratic transformation, dilatation, σ-process, or Hopf map. The simplest case of a blowup

Max Noether (650 words) [view diff] exact match in snippet view article find links to article

automorphisms of the complex projective plane is generated by the "quadratic transformation" [x,y,z] ↦ [1/x, 1/y, 1/z] together with the group PGL(3,C) of

Buddhabrot (1,577 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \lambda x(1-x)} is well known. The two are related by the quadratic transformation: c r = λ ( 2 − λ ) 4 c i = 0 z r = − λ ( 2 x − 1 ) 2 z i = 0 {\displaystyle

Quartic plane curve (1,382 words) [view diff] exact match in snippet view article find links to article

shape of the curve. The cruciform curve is related by a standard quadratic transformation, x ↦ 1/x, y ↦ 1/y to the ellipse a2x2 + b2y2 = 1, and is therefore

Birational geometry (2,684 words) [view diff] exact match in snippet view article find links to article

C ) {\displaystyle Cr_{2}(\mathbb {C} )} is generated by the "quadratic transformation" [x,y,z] ↦ [1/x, 1/y, 1/z] together with the group P G L ( 3 ,

Cremona group (1,278 words) [view diff] exact match in snippet view article find links to article

showed that the complex Cremona group is generated by the standard quadratic transformation, along with P G L ( 3 , k ) {\displaystyle \mathrm {PGL} (3,k)}

Glossary of classical algebraic geometry (11,133 words) [view diff] exact match in snippet view article find links to article

(Semple & Roth 1949, p.15) quadratic transformation 1. A Cremona transformation of degree 2. A standard quadratic transformation is one similar to the map